Applied Mathematics and Mechanics >
An upper bound on the steady flow velocity of solvent-free nanofluids
Received date: 2024-07-02
Online published: 2024-11-30
Supported by
the National Natural Science Foundation of China(12172281);the Fund of the Science and Technology Innovation Team of Shaanxi Province of China(2022TD-61);the Open Project of State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure, East China Jiaotong University(HJGZ2023102);the Shaanxi Province Key Research and Development Project(2024SFYBXM-531);Project supported by the National Natural Science Foundation of China (No. 12172281), the Fund of the Science and Technology Innovation Team of Shaanxi Province of China (No. 2022TD-61), the Open Project of State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure, East China Jiaotong University (No. HJGZ2023102), and the Shaanxi Province Key Research and Development Project (No. 2024SFYBXM-531)
Copyright
The rheological properties and limited flow velocities of solvent-free nanofluids are crucial for their technologically significant applications. In particular, the flow in a solvent-free nanofluid system is steady only when the flow velocity is lower than a critical value. In this paper, we establish a rigid-flexible dynamic model to investigate the existence of the upper bound on the steady flow velocities for three solvent-free nanofluid systems. Then, the effects of the structural parameters on the upper bound on the steady flow velocities are examined with the proposed structure-preserving method. It is found that each of these solvent-free nanofluid systems has an upper bound on the steady flow velocity, which exhibits distinct dependence on their structural parameters, such as the graft density of branch chains and the size of the cores. In addition, among the three types of solvent-free nanofluids, the magnetic solvent-free nanofluid poses the largest upper bound on the steady flow velocity, demonstrating that it is a better choice when a large flow velocity is required in real applications.
Weipeng HU, Zhengqi HAN, Xiqiao FENG, Yaping ZHENG, Zichen DENG . An upper bound on the steady flow velocity of solvent-free nanofluids[J]. Applied Mathematics and Mechanics, 2024 , 45(12) : 2203 -2214 . DOI: 10.1007/s10483-024-3193-8
| 1 | BOURLINOS, A. B., CHOWDHURY, S. R., HERRERA, R., JIANG, D. D., ZHANG, Q., ARCHER, L. A., and GIANNELIS, E. P. Functionalized nanostructures with liquid-like behavior: expanding the gallery of available nanostructures. Advanced Functional Materials, 15 (8), 1285- 1290 (2005) |
| 2 | BOURLINOS, A. B., HERRERA, R., CHALKIAS, N., JIANG, D. D., ZHANG, Q., ARCHER, L. A., and GIANNELIS, E. P. Surface-functionalized nanoparticles with liquid-like behavior. Advanced Materials, 17 (2), 234- 237 (2005) |
| 3 | WANG, Y., YAO, D., and ZHENG, Y. A review on synthesis and application of solvent-free nanofluids. Advanced Composites and Hybrid Materials, 2 (4), 608- 625 (2019) |
| 4 | HU, W., HUAI, Y., XU, M., FENG, X., JIANG, R., ZHENG, Y., and DENG, Z. Mechanoelectrical flexible hub-beam model of ionic-type solvent-free nanofluids. Mechanical Systems and Signal Processing, 159, 107833 (2021) |
| 5 | HUAI, Y., HU, W., SONG, W., ZHENG, Y., and DENG, Z. Magnetic-field-responsive property of Fe3O4/polyaniline solvent-free nanofluid. Physics of Fluids, 35 (1), 012001 (2023) |
| 6 | SADEGH, F., MODARRESI-ALAM, A. R., NOROOZIFAR, M., and KERMAN, K. A facile and green synthesis of superparamagnetic Fe3O4@PANI nanocomposite with a core-shell structure to increase of triplet state population and efficiency of the solar cells. Journal of Environmental Chemical Engineering, 9 (1), 104942 (2021) |
| 7 | CHENG, C., ZHANG, M., WANG, S., LI, Y., FENG, H., BU, D., XU, Z., LIU, Y., JIN, L., XIAO, L., and AO, Y. Improving interfacial properties and thermal conductivity of carbon fiber/epoxy composites via the solvent-free GO@Fe3O4 nanofluid modified water-based sizing agent. Composites Science and Technology, 209, 108788 (2021) |
| 8 | BAI, H., ZHENG, Y., WANG, T., and PENG, N. Magnetic solvent-free nanofluid based on Fe3O4/polyaniline nanoparticles and its adjustable electric conductivity. Journal of Materials Chemistry A, 4 (37), 14392- 14399 (2016) |
| 9 | WASAN, D. T., and NIKOLOV, A. D. Spreading of nanofluids on solids. nature, 423 (6936), 156- 159 (2003) |
| 10 | BAUGH, J., KLEINHAMMES, A., HAN, D. X., WANG, Q., and WU, Y. Confinement effect on dipole-dipole interactions in nanofluids. Science, 294 (5546), 1505- 1507 (2001) |
| 11 | XUAN, Y. M., and LI, Q. Heat transfer enhancement of nanofluids. International Journal of Heat and Fluid Flow, 21 (1), 58- 64 (2000) |
| 12 | KIM, J., KANG, Y. T., and CHOI, C. K. Analysis of convective instability and heat transfer characteristics of nanofluids. Physics of Fluids, 16 (7), 2395- 2401 (2004) |
| 13 | KEBLINSKI, P., EASTMAN, J. A., and CAHILL, D. G. Nanofluids for thermal transport. Materials Today, 8 (6), 36- 44 (2005) |
| 14 | KUMAR, D. H., PATEL, H. E., KUMAR, V. R. R., SUNDARARAJAN, T., PRADEEP, T., and DAS, S. K. Model for heat conduction in nanofluids. Physical Review Letters, 93 (14), 144301 (2004) |
| 15 | PRASHER, R., BHATTACHARYA, P., and PHELAN, P. E. Thermal conductivity of nanoscale colloidal solutions (nanofluids). Physical Review Letters, 94 (2), 025901 (2005) |
| 16 | DAS, S. K., CHOI, S. U., YU, W., and PRADEEP, T. Nanofluids: Science and Technology, John Wiley & Sons, Hoboken, New Jersey (2007) |
| 17 | MAHIAN, O., KOLSI, L., AMANI, M., ESTELLE, P., AHMADI, G., KLEINSTREUER, C., MARSHALLI, J. S., SIAVASHI, M., TAYLOR, R. A., NIAZMAND, H., WONGWISES, S., HAYAT, T., KOLANJIYIL, A., KASAEIAN, A., and POP, L. Recent advances in modeling and simulation of nanofluid flows-part Ⅰ: fundamentals and theory. Physics Reports-Review Section of Physics Letters, 790, 1- 48 (2019) |
| 18 | MAHIAN, O., KOLSI, L., AMANI, M., ESTELLE, P., AHMADI, G., KLEINSTREUER, C., MARSHALL, J. S., TAYLOR, R. A., ABU-NADA, E., RASHIDI, S., NIAZMAND, H., WONGWISES, S., HAYAT, T., KASAEIAN, A., and POP, I. Recent advances in modeling and simulation of nanofluid flows-part Ⅱ: applications. Physics Reports-Review Section of Physics Letters, 791, 1- 59 (2019) |
| 19 | TEXTER, J., QIU, Z., CROMBEZ, R., BYROM, J., and SHEN, W. Nanofluid acrylate composite resins-initial preparation and characterization. Polymer Chemistry, 2 (8), 1778- 1788 (2011) |
| 20 | HU, W., WANG, Z., HUAI, Y., FENG, X., SONG, W., and DENG, Z. Effects of temperature change on the rheological property of modified multiwall carbon nanotubes. Applied Mathematics and Mechanics (English Edition), 43 (10), 1503- 1514 (2022) |
| 21 | YANG, H., HONG, J. Z., and YU, Z. Y. Dynamics modelling of a flexible hub-beam system with a tip mass. Journal of Sound and Vibration, 266 (4), 759- 774 (2003) |
| 22 | CAI, G. P., HONG, J. Z., and YANG, S. X. Dynamic analysis of a flexible hub-beam system with tip mass. Mechanics Research Communications, 32 (2), 173- 190 (2005) |
| 23 | YOU, C. L., HONG, J. Z., and CAI, G. P. Modeling study of a flexible hub-beam system with large motion and with considering the effect of shear deformation. Journal of Sound and Vibration, 295 (1), 282- 293 (2006) |
| 24 | LIU, Z., and LIU, J. Experimental validation of rigid-flexible coupling dynamic formulation for hub-beam system. Multibody System Dynamics, 40 (3), 303- 326 (2017) |
| 25 | ZHAO, Z., LIU, C., and MA, W. Characteristics of steady vibration in a rotating hub-beam system. Journal of Sound and Vibration, 363, 571- 583 (2016) |
| 26 | XIE, Y., LIU, P., and CAI, G. P. Frequency identification of flexible hub-beam system using control data. International Journal of Acoustics and Vibration, 21 (3), 257- 265 (2016) |
| 27 | LI, L., ZHU, W. D., ZHANG, D. G., and DU, C. F. A new dynamic model of a planar rotating hub-beam system based on a description using the slope angle and stretch strain of the beam. Journal of Sound and Vibration, 345, 214- 232 (2015) |
| 28 | CAI, G. P., and LIM, C. W. Dynamics studies of a flexible hub-beam system with significant damping effect. Journal of Sound and Vibration, 318 (1-2), 1- 17 (2008) |
| 29 | AN, S. Q., ZOU, H. L., DENG, Z. C., and HU, W. P. Dynamic analysis on hub-beam system with transient stiffness variation. International Journal of Mechanical Sciences, 151, 692- 702 (2019) |
| 30 | CAI, G. P., and LIM, C. W. Active control of a flexible hub-beam system using optimal tracking control method. International Journal of Mechanical Sciences, 48 (10), 1150- 1162 (2006) |
| 31 | WEN, H., CHEN, T., JIN, D., and HU, H. Passivity-based control with collision avoidance for a hub-beam spacecraft. Advances in Space Research, 59 (1), 425- 433 (2017) |
| 32 | WANG, G., QI, Z., and XU, J. A high-precision co-rotational formulation of 3D beam elements for dynamic analysis of flexible multibody systems. Computer Methods in Applied Mechanics and Engineering, 360, 112701 (2020) |
| 33 | HU, W., XI, X., SONG, Z., ZHANG, C., and DENG, Z. Coupling dynamic behaviors of axially moving cracked cantilevered beam subjected to transverse harmonic load. Mechanical Systems and Signal Processing, 204, 110757 (2023) |
| 34 | HU, W., XU, M., ZHANG, F., XIAO, C., and DENG, Z. Dynamic analysis on flexible hub-beam with step-variable cross-section. Mechanical Systems and Signal Processing, 180, 109423 (2022) |
| 35 | HU, W., XU, M., SONG, J., GAO, Q., and DENG, Z. Coupling dynamic behaviors of flexible stretching hub-beam system. Mechanical Systems and Signal Processing, 151, 107389 (2021) |
| 36 | HU, W., ZHANG, C., and DENG, Z. Vibration and elastic wave propagation in spatial flexible damping panel attached to four special springs. Communications in Nonlinear Science and Numerical Simulation, 84, 105199 (2020) |
| 37 | HU, W., YE, J., and DENG, Z. Internal resonance of a flexible beam in a spatial tethered system. Journal of Sound and Vibration, 475, 115286 (2020) |
| 38 | XU, M., HU, W., HAN, Z., BAI, H., DENG, Z., and ZHANG, C. Symmetry-breaking dynamics of a flexible hub-beam system rotating around an eccentric axis. Mechanical Systems and Signal Processing, 222, 111757 (2025) |
| 39 | HU, W., CUI, P., HAN, Z., YAN, J., ZHANG, C., and DENG, Z. Coupling dynamic problem of a completely free weightless thick plate in geostationary orbit. Applied Mathematical Modelling, 137, 115628 (2025) |
| 40 | LIM, C. W., and XU, X. S. Symplectic elasticity: theory and applications. Applied Mechanics Reviews, 63 (5), 050802 (2010) |
| 41 | LIM, C. W., LUE, C. F., XIANG, Y., and YAO, W. On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates. International Journal of Engineering Science, 47 (1), 131- 140 (2009) |
| 42 | FENG, K. On difference schemes and symplectic geometry. Proceeding of the 1984 Beijing Symposium on Differential Geometry and Differential Equations, Science Press, Beijing (1984) |
| 43 | YAO, W., ZHONG, W., and LIM, C. W. Symplectic Elasticity, World Scientific Publishing Co. Pte Ltd, Singapore (2009) |
| 44 | HU, W., HAN, Z., BRIDGES, T. J., and QIAO, Z. Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation. Applied Mathematics Letters, 145, 108772 (2023) |
| 45 | MARSDEN, J. E., PATRICK, G. W., and SHKOLLER, S. Multisymplectic geometry, 2, variational integrators, and nonlinear PDEs. . Communications in Mathematical Physics, 199 (2), 351- 395 (1998) |
| 46 | BRIDGES, T. J. Multi-symplectic structures and wave propagation. Mathematical Proceedings of the Cambridge Philosophical Society, 121 (1), 147- 190 (1997) |
| 47 | HU, W., WANG, Z., ZHAO, Y., and DENG, Z. Symmetry breaking of infinite-dimensional dynamic system. Applied Mathematics Letters, 103, 106207 (2020) |
| 48 | HU, W. P., DENG, Z. C., HAN, S. M., and ZHANG, W. R. Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs. Journal of Computational Physics, 235, 394- 406 (2013) |
/
| 〈 |
|
〉 |
Email Alert
RSS